225607032 has 192 divisors, whose sum is σ = 739065600. Its totient is φ = 63141120.

The previous prime is 225607013. The next prime is 225607043. The reversal of 225607032 is 230706522.

225607032 is a `hidden beast` number, since 2 + 2 + 560 + 70 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225606987 and 225607005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802732 + ... + 803012.

It is an arithmetic number, because the mean of its divisors is an integer number (3849300).

Almost surely, 2^225607032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225607032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369532800).

225607032 is an abundant number, since it is smaller than the sum of its proper divisors (513458568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225607032 is a wasteful number, since it uses less digits than its factorization.

225607032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225607032 is about 15020.2207706811. The cubic root of 225607032 is about 608.7666848740.

It can be divided in two parts, 22560 and 7032, that added together give a palindrome (29592).

The spelling of 225607032 in words is "two hundred twenty-five million, six hundred seven thousand, thirty-two".